Maths-
General
Easy
Question
Solve Each system : Explain your choice of Solution method
5X - 2Y = - 6
3X - 4Y = - 26
Hint:
Choose the correct method of solution and perform any arithmetic operation
and then find.
The correct answer is: get x = 2 and y = 8
Complete step by step solution:
We can use the method of elimination of the system of equations.
Let 5x-2y=-6…(i)
and 3x-4y=-26…(ii)
On multiplying (i) with 2, we get 2(5x-2y=-6)
⇒10x-4y=-12…(iii)
Now, we have the coefficients of y in (ii) and (iii) to be the same.
On subtracting (ii) from (iii),
we get LHS to be 10x-4y-(3x-4y)=10x-3x=7x
and RHS to be -12-(-26)=14
On equating LHS and RHS, we have 7x=14
⇒x=2
On substituting the value of x in (i), we get 5×2-2y=-6
⇒10-2y=-6
⇒-2y=-6-10
⇒-2y=-16
⇒y=8
Hence we get x=2 and y=8
Note: We can also solve these system of equations by making the coefficients of x
to be the same in both the equations.
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